Mechanical behavior of cylindrical laminated plastic shells

The static and dynamic behavior of a cylindrical glass-reinforced plastic shell with an open cross section under long-term loading and unloading has been experimentally and theoretically investigated. The experimental results are compared with the theoretical data obtained using a geometrically nonlinear theory based on the Kirchhoff hypothesis. For calculation purposes the glass-reinforced plastic is assumed to be a homogeneous orthotropic linearly elastic material.Building Research Institute, Prague. Translated from Mekhanika Polimerov, No. 1, pp. 110–115, January–February, 1976.     

Three-dimensional thermally stressed state of laminated cylindrical shells

The three-dimensional thermoelasticity problem is solved for a laminated, orthotropic cylindrical shell. The boundary conditions assigned at the cylindrical surfaces of the shell are homogeneous. The general solution is obtained by using the method of separation of variables.Translated from Teoreticheskaya i Prikladnaya Mekhanika, No. 20, pp. 55–59, 1989.     

Analysis of free damped vibrations of laminated composite cylindrical shells

Damped free vibrations of multilayered composite cylindrical shells are investigated. Vibration and damping analysis of cylindrical shells is performed by using the first-order shear deformation theory (FOSDT). Based on other researchers' works, two damping models are developed, i.e., the energy method (EM), and the method of complex eigenvalues (MCE). Several numerical examples of the damped free vibration problem of laminated composite cylindrical shells have been solved and comparison has been made with the results of other authors.Published in Mekhanika Kompozitnykh Materialov, Vol. 31, No. 5, pp. 646–659, September–October, 1995.     

Exact solution for thick laminated closed cylindrical shells with two clamped edges

This study discards assumptions about displacement models and stress distribution and quotes the δ-function to establish the state equation for closed orthotropic cylindrical shells with two clamped edges. An identical exact solution is presented for the statics of thin, moderately thick, and thick laminated closed cylindrical shells with two clamped edges. Numerical results are obtained and compared with those calculated using SAP5.     

Stresses in adhesive joints in cylindrical shells and panels

The stresses in adhesive joints in cylindrical shells and panels are determined for the general case of loading. The effects of joint length and the parameters of the adhesive, the shells, and the panels on the magnitude of these stresses are investigated.Aviation Technology Institute, Moscow. Translated from Mekhanika Polimerov, No. 6, No. 1093–1103, November–December, 1972.     

Zero-moment laminated cylindrical shells with variable elasticity parameters obtained by the continuous winding method

Conclusions The general solution in the displacements of the problem of thermal-force loading of a zero-moment laminated cylindrical shell with variable elasticity parameters has been obtained in analytic form. Boundary-value problems for the practically important and often realized boundary conditions which arise in tests of samples, models, and natural structures have been discussed.Presented at the Fifth All-Union Conference on the Mechanics of Polymer and Composite Materials (Riga, October, 1983).Translated from Mekhanika Kompozitnykh Materialov, No. 3, pp. 493–502, May–June, 1984.     

Optimization of reinforced cylindrical shells with nonuniform thickness

An optimum multilayer shell is designed whose stack of elementary layers has a nonuniform thickness. This optimization problem is solved numerically for the special cases of three-layer cylindrical shells with dynamic and static stability. The optimum variants of layer distribution in this model are compared with the optimum solutions in [1].Institute of Polymer Mechanics, Academy of Sciences of the Latvian SSSR, Riga. Translated from Mekhanika Polimerov, No. 2, pp. 298–303, March–April, 1976.     

Micro-vibrations of thin cylindrical shells with uniperiodic structure

Micro-vibrations of thin linear-elastic Kirchhoff-Love cylindrical shells, having a periodic structure along one direction tangent to the shell midsurface, are investigated using the new averaged non-asymptotic model of such shells proposed by Tomczyk (2008). This model describes the effect of microstructure size on the overall shell behaviour and makes it possible to analyze the shell's micro-dynamics independently of its macro-dynamics. (© 2009 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)     

Parametric vibrations of cylindrical shells with a viscoelastic core

The method of calculating the axisymmetric and nonaxisymmetric parametric vibrations of a cylindrical shell bonded to an elastic core [2] is extended to the case of hollow and solid viscoelastic cores by substituting for the material moduli in the equations of motion of the core integral operators with kernels in the form of an exponential and a sum of exponentials. Expressions are given for the reaction of the viscoelastic core, together with the equation of the boundaries of the spectrum of principal regions of dynamic instability. The effect of relaxation time and the long-term modulus of elasticity of the core on the shape and location of the regions of dynamic instability is analyzed.